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Finding the Fourth Proportional to 52,876.50, 72,972.45 and 30,527.70

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Solution

The fourth proportional to 52,876.50, 72,972.45 and 30,527.70 is: 42,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.50 : 72,972.45 = 30,527.70 : x
  2. Step 2: Convert to fraction form
    52,876.50/72,972.45 = 30,527.70/x
  3. Step 3: Cross multiply
    52,876.50x = 72,972.45 × 30,527.70
  4. Step 4: Simplify right side
    52,876.50x = 2,227,681,061.87
  5. Step 5: Solve for x
    x = 2,227,681,061.87/52,876.50
  6. Step 6: Final answer
    x = 42,129.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.